Question 6 of 25If a circle is inscribed in a square, which of the following must be true? Check all that apply.A.Each vertex of the square lies outside the circle.B.Each vertex of the square lies inside the circle.C.The circle is tangent to each side of the square.D.The square is circumscribed about the circle.E.The circle is congruent to the square.
Question
Question 6 of 25If a circle is inscribed in a square, which of the following must be true? Check all that apply.A.Each vertex of the square lies outside the circle.B.Each vertex of the square lies inside the circle.C.The circle is tangent to each side of the square.D.The square is circumscribed about the circle.E.The circle is congruent to the square.
Solution
A. Each vertex of the square lies outside the circle. - This is true. When a circle is inscribed in a square, the vertices of the square are outside the circle.
C. The circle is tangent to each side of the square. - This is true. The circle touches each side of the square at a single point, which is the definition of being tangent.
D. The square is circumscribed about the circle. - This is true. When a circle is inscribed in a square, the square is said to be circumscribed about the circle.
B. Each vertex of the square lies inside the circle. - This is false. The vertices of the square are outside the circle.
E. The circle is congruent to the square. - This is false. Congruency is a term used to describe figures that are the same size and shape. A circle and a square cannot be congruent because they are different shapes.
Similar Questions
If a circle is inscribed in a triangle, which of the following must be true? Check all that apply.A.Each vertex of the triangle lies inside the circle.B.The triangle is circumscribed about the circle.C.The circle is tangent to each side of the triangle.D.The circle is congruent to the triangle.E.Each vertex of the triangle lies outside the circle.SUBMITarrow_backPREVIOUS
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